Basic Math Examples

$| - 65 | - (- 30 \div (- 3) \div (- 10))$

Step 1

Simplify each term.

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Step 1.1

The absolute value is the distance between a number and zero. The distance between $- 65$ and $0$ is $65$ .

$65 - (- 30 \div (- 3) \div (- 10))$

Step 1.2

Rewrite the division as a fraction.

$65 - \frac{- 30 \div (- 3)}{- 10}$

Step 1.3

Cancel the common factor of $- 30$ and $- 3$ .

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Step 1.3.1

Factor $- 3$ out of $- 30$ .

$65 - \frac{- 3 (10) \div (- 3)}{- 10}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $- 3$ out of $- 3$ .

$65 - \frac{- 3 \cdot 10 \div (- 3 \cdot 1)}{- 10}$

Step 1.3.2.2

Cancel the common factor.

$65 - \frac{- 3 \cdot 10 \div (- 3 \cdot 1)}{- 10}$

Step 1.3.2.3

Rewrite the expression.

$65 - \frac{\frac{10}{1}}{- 10}$

Step 1.3.2.4

Divide $10$ by $1$ .

$65 - \frac{10}{- 10}$

Step 1.4

Cancel the common factor of $10$ and $- 10$ .

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Step 1.4.1

Factor $10$ out of $10$ .

$65 - \frac{10 (1)}{- 10}$

Step 1.4.2

Move the negative one from the denominator of $\frac{1}{- 1}$ .

$65 - (- 1 \cdot 1)$

Step 1.5

Multiply $- (- 1 \cdot 1)$ .

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Step 1.5.1

Multiply $- 1$ by $1$ .

$65 - - 1$

Step 1.5.2

Multiply $- 1$ by $- 1$ .

$65 + 1$

Step 2

Add $65$ and $1$ .

$66$